Ja. Bergstra et Jv. Tucker, EQUATIONAL SPECIFICATIONS, COMPLETE TERM REWRITING-SYSTEMS, AND COMPUTABLE AND SEMICOMPUTABLE ALGEBRAS, Journal of the Association for Computing Machinery, 42(6), 1995, pp. 1194-1230
We classify the computable and semicomputable algebras in terms of fin
ite equational initial algebra specifications and their properties as
term term rewriting systems, such as completeness. Further results on
properties of these specifications, such as on their size and orthogon
ality, are provided which show that our main results are the best poss
ible.